Abstract
It is shown that the Combined-variable-phase-off-shell scattering theory or the generalised phase-function method provides efficient algorithms to calculate the off-shell extension function which plays a role in the theories of three-particle scattering. In order to assert this we have chosen to work with a model potential for theα-α interaction. The functions which occur in the context of our approach exhibit certain interesting features with regard to effect of the potential in producing on-and off-shell quantities like the phase shift and quasi-phase. Interpolating off-shell extension function is seen to exhibit a discontinuity where the phase function goes through a zero.
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Babikov, V.V.: Sov. Phys. Usp.92, 271 (1967)
Calogero, F.: Variable phase approach to potential scattering. New York: Academic Press 1967
Faddeev, L.D.: Mathematical problems of the quantum theory of scattering for a three-particle system. Harwell, Berkshire: Atomic Energy Research Establishment 1964
Yukubovski, O.A.: Yad. Fiz.5, 1312 (1967) (Sov. J. Nucl. Phys.5, 937 (1967)
Sobel, M.I.: J. Math. Phys.9, 2132 (1968)
Talukdar, B., Das, U.: Z. Phys. A — Atoms and Nuclei291, 103 (1979)
Tikochinsky, Y.: Ann. Phys. (NY)103, 185 (1977)
Fuda, M.G., Whiting, J.S.: Phys. Rev. C8, 1255 (1973)
Talukdar, B., Mallick, N., Roy, D.: J. Phys. G: Nucl. Phys.7, 1103 (1981)
Noyes, H.P.: Phys. Rev. Lett.15, 798 (1965)
Kowalski, K.L.: Phys. Rev. Lett.15, 538 (1965)
Darriulat, P., Igo, G., Pugh, H.G., Holmgren, H.D.: Phys. Rev.137, B315 (1965)
Fuda, M.G.: Phys. Rev. C1, 1910 (1970)
Watson, K.M., Nuttal, J., Chisholm, J.S.R.: Topics in several particle dynamics. San Francisco: Holden-day 1976
Wildermuth, K., McClure, W.: Cluster representation of Nuclei. Springer Tracts in Modern Physics. Vol. 41. Berlin, Heidelberg, New York: Springer 1966
Friedrich, H.: Phys. Rep.74, 209 (1981)
Sharma, N.R.: Pramana18, 25 (1982)
Fano, U., Theodosiou, C.E., Dehmer, J.L.: Rev. Mod. Phys.49, 48 (1976)
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Talukdar, B., Saha, S., Bhattaru, S.R. et al. Off-shell extension function from a generalised phase-function method. Z Physik A 312, 121–124 (1983). https://doi.org/10.1007/BF01411669
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DOI: https://doi.org/10.1007/BF01411669